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Operator Theory and Its Applications
 
Edited by: A. G. Ramm Kansas State University, Manhattan, KS
P. N. Shivakumar University of Manitoba, Winnipeg, MB, Canada
A. V. Strauss Ul’yanovsk Pedagogical University, Ul’yanovsk, Russia
A co-publication of the AMS and Fields Institute
Front Cover for Operator Theory and Its Applications
Available Formats:
Hardcover ISBN: 978-0-8218-1990-6
Product Code: FIC/25
List Price: $169.00
MAA Member Price: $152.10
AMS Member Price: $135.20
Electronic ISBN: 978-1-4704-3049-8
Product Code: FIC/25.E
List Price: $159.00
MAA Member Price: $143.10
AMS Member Price: $127.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $253.50
MAA Member Price: $228.15
AMS Member Price: $202.80
Front Cover for Operator Theory and Its Applications
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  • Front Cover for Operator Theory and Its Applications
  • Back Cover for Operator Theory and Its Applications
Operator Theory and Its Applications
Edited by: A. G. Ramm Kansas State University, Manhattan, KS
P. N. Shivakumar University of Manitoba, Winnipeg, MB, Canada
A. V. Strauss Ul’yanovsk Pedagogical University, Ul’yanovsk, Russia
A co-publication of the AMS and Fields Institute
Available Formats:
Hardcover ISBN:  978-0-8218-1990-6
Product Code:  FIC/25
List Price: $169.00
MAA Member Price: $152.10
AMS Member Price: $135.20
Electronic ISBN:  978-1-4704-3049-8
Product Code:  FIC/25.E
List Price: $159.00
MAA Member Price: $143.10
AMS Member Price: $127.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $253.50
MAA Member Price: $228.15
AMS Member Price: $202.80
  • Book Details
     
     
    Fields Institute Communications
    Volume: 252000; 574 pp
    MSC: Primary 47; 35; 34; 81;

    This volume contains a selection of papers presented at an international conference on operator theory and its applications held in Winnipeg. The papers chosen for this volume are intended to illustrate that operator theory is the language of modern analysis and its applications. Together with the papers on the abstract operator theory are many papers on the theory of differential operators, boundary value problems, inverse scattering and other inverse problems, and on applications to biology, chemistry, wave propagation, and many other areas.

    The volume is dedicated to the late A. V. Strauss, whose principal areas of research were spectral theory of linear operators in Hilbert spaces, extension theory for symmetric linear operators, theory of the characteristic functions and functional models of linear operators, and boundary value problems with boundary conditions depending on spectral parameter. The bibliography of publications by A. V. Strauss combined with the papers from the conference provide both historical perspective and contemporary research on the field of operator theory and its applications.

    Readership

    Mathematicians, engineers and graduate students interested in operator theory and its applications, PDEs, ordinary differential equations and quantum theory.

  • Table of Contents
     
     
    • Chapters
    • Abraham Strauss - Functional models of regular symmetric operators
    • A. Ramm - Property C for ODE and applications to inverse problems
    • Ya. Alber - Decomposition theorems in Banach spaces
    • Ruben Airapetyan - On a new statement of inverse problem of quantum scattering theory
    • Ruben Airapetyan, Alexander Ramm and Alexandra Smirnova - Continuous methods for solving nonlinear ill-posed problems
    • D. Alpay and Y. Peretz - Quasi-coisometric realizations of upper triangular matrices
    • J. Ball - Linear systems, operator model theory and scattering: Multivariable generalizations
    • J. Ball and N. Young - Problems on the realization of functions
    • Sergey Belyi and Eduard Tsekanovskii - Multiplication theorems for $J$-contractive operator-valued functions
    • Yurij Berezansky - Spectral theory of commutative Jacobi fields: Direct and inverse problems
    • Giovanni Crosta - The forward propagation method applied to the inverse obstacle problem of electromagnetics
    • Jan Eisner and Milan Kučera - Spatial patterning in reaction-diffusion systems with nonstandard boundary conditions
    • Anatolii Ětkin - On an abstract boundary value problem with the eigenvalue parameter in the boundary condition
    • Fritz Gesztesy and Konstantin Makarov - Some applications of the spectral shift operator
    • S. Gutman and A. Ramm - Application of the hybrid stochastic-deterministic minimization method to a surface data inverse scattering problem
    • W. Jäger and P. Rejto - On a theorem of Mochizuki and Uchiyama about long range oscillating potentials I
    • V. Khatskevich and V. Senderov - Basic properties of linear fractional mappings of operator balls: Schroeder’s equation
    • Eugene Khruslov and Leonid Pankratov - Homogenization of the Dirichlet variational problems in Orlicz-Sobolev spaces
    • B. Loginov, D. Rakhimov and N. Sidorov - Development of M. K. Gavurin’s pseudoperturbation method
    • Julián López-Gómez - A bridge between operator theory and mathematical biology
    • Marjan Matvejchuk - Measures on effects and on projections in spaces with indefinite metric
    • Toshitaka Nagai - Concentration behavior of solutions to a chemotaxis system
    • R. Plato - The solution of linear semidefinite ill-posed problems by the conjugate residual method
    • A. Ramm - Justification of the limiting absorption principle in $\mathbb R^2$
    • A. Ramm - Krein’s method in inverse scattering
    • Alexander Ramm and Marco Sammartino - Existence and uniqueness of the scattering solutions in the exterior of rough domains
    • Shigui Ruan and John Clements - Existence and uniqueness of solutions of retarded quasilinear wave equations
    • Efim Shifrin and Boštjan Brank - On solution of elliptical interface crack problem
    • Alexander Shklyar - Some new effects for complete second order linear differential equations in Hilbert spaces
    • Vladilen Trenogin - Abstract boundary value problems for operator equations
    • A. Tsyganov - On spectral decompositions of a restriction of a differential operator
    • N. Voitovich, Yu. Topolyuk and O. Reshnyak - Approximation of compactly supported functions with free phase by functions with bounded spectrum
    • Anatoly Yagola and Konstantin Dorofeev - Sourcewise representation and a Posteriori error estimates for ill-posed problems
    • Yoshio Yamada - Coexistence states for Lotka-Volterra systems with cross-diffusion
    • Masaru Yamaguchi and Hiroshi Yoshida - Nonhomogeneous string problem with periodically moving boundaries
  • Request Review Copy
Volume: 252000; 574 pp
MSC: Primary 47; 35; 34; 81;

This volume contains a selection of papers presented at an international conference on operator theory and its applications held in Winnipeg. The papers chosen for this volume are intended to illustrate that operator theory is the language of modern analysis and its applications. Together with the papers on the abstract operator theory are many papers on the theory of differential operators, boundary value problems, inverse scattering and other inverse problems, and on applications to biology, chemistry, wave propagation, and many other areas.

The volume is dedicated to the late A. V. Strauss, whose principal areas of research were spectral theory of linear operators in Hilbert spaces, extension theory for symmetric linear operators, theory of the characteristic functions and functional models of linear operators, and boundary value problems with boundary conditions depending on spectral parameter. The bibliography of publications by A. V. Strauss combined with the papers from the conference provide both historical perspective and contemporary research on the field of operator theory and its applications.

Readership

Mathematicians, engineers and graduate students interested in operator theory and its applications, PDEs, ordinary differential equations and quantum theory.

  • Chapters
  • Abraham Strauss - Functional models of regular symmetric operators
  • A. Ramm - Property C for ODE and applications to inverse problems
  • Ya. Alber - Decomposition theorems in Banach spaces
  • Ruben Airapetyan - On a new statement of inverse problem of quantum scattering theory
  • Ruben Airapetyan, Alexander Ramm and Alexandra Smirnova - Continuous methods for solving nonlinear ill-posed problems
  • D. Alpay and Y. Peretz - Quasi-coisometric realizations of upper triangular matrices
  • J. Ball - Linear systems, operator model theory and scattering: Multivariable generalizations
  • J. Ball and N. Young - Problems on the realization of functions
  • Sergey Belyi and Eduard Tsekanovskii - Multiplication theorems for $J$-contractive operator-valued functions
  • Yurij Berezansky - Spectral theory of commutative Jacobi fields: Direct and inverse problems
  • Giovanni Crosta - The forward propagation method applied to the inverse obstacle problem of electromagnetics
  • Jan Eisner and Milan Kučera - Spatial patterning in reaction-diffusion systems with nonstandard boundary conditions
  • Anatolii Ětkin - On an abstract boundary value problem with the eigenvalue parameter in the boundary condition
  • Fritz Gesztesy and Konstantin Makarov - Some applications of the spectral shift operator
  • S. Gutman and A. Ramm - Application of the hybrid stochastic-deterministic minimization method to a surface data inverse scattering problem
  • W. Jäger and P. Rejto - On a theorem of Mochizuki and Uchiyama about long range oscillating potentials I
  • V. Khatskevich and V. Senderov - Basic properties of linear fractional mappings of operator balls: Schroeder’s equation
  • Eugene Khruslov and Leonid Pankratov - Homogenization of the Dirichlet variational problems in Orlicz-Sobolev spaces
  • B. Loginov, D. Rakhimov and N. Sidorov - Development of M. K. Gavurin’s pseudoperturbation method
  • Julián López-Gómez - A bridge between operator theory and mathematical biology
  • Marjan Matvejchuk - Measures on effects and on projections in spaces with indefinite metric
  • Toshitaka Nagai - Concentration behavior of solutions to a chemotaxis system
  • R. Plato - The solution of linear semidefinite ill-posed problems by the conjugate residual method
  • A. Ramm - Justification of the limiting absorption principle in $\mathbb R^2$
  • A. Ramm - Krein’s method in inverse scattering
  • Alexander Ramm and Marco Sammartino - Existence and uniqueness of the scattering solutions in the exterior of rough domains
  • Shigui Ruan and John Clements - Existence and uniqueness of solutions of retarded quasilinear wave equations
  • Efim Shifrin and Boštjan Brank - On solution of elliptical interface crack problem
  • Alexander Shklyar - Some new effects for complete second order linear differential equations in Hilbert spaces
  • Vladilen Trenogin - Abstract boundary value problems for operator equations
  • A. Tsyganov - On spectral decompositions of a restriction of a differential operator
  • N. Voitovich, Yu. Topolyuk and O. Reshnyak - Approximation of compactly supported functions with free phase by functions with bounded spectrum
  • Anatoly Yagola and Konstantin Dorofeev - Sourcewise representation and a Posteriori error estimates for ill-posed problems
  • Yoshio Yamada - Coexistence states for Lotka-Volterra systems with cross-diffusion
  • Masaru Yamaguchi and Hiroshi Yoshida - Nonhomogeneous string problem with periodically moving boundaries
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